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A Method for Interpreting Small Angle Neutron Scattering Data from Quasi-Spherical Objects

Published online by Cambridge University Press:  22 February 2011

T.M. Sabine ,
W.K. Bertram  and
L.P. Aldridge
T.M. Sabine
Affiliation:
ANSTO, PMB I Menai, NSW 2234, AUSTRALIA
W.K. Bertram
Affiliation:
ANSTO, PMB I Menai, NSW 2234, AUSTRALIA
L.P. Aldridge
Affiliation:
ANSTO, PMB I Menai, NSW 2234, AUSTRALIA
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Abstract

Small angle scattering data are traditionally interpreted in terms of scattering patterns at the Porod and the Guinier limits. It is difficult to fit the entire scattering pattern to account for scattering from spheres because Rayleigh's formula contains oscillatory terms which are smeared out in practice by perturbations in the sizes of the scattering agents.

It is proposed that a Lorenztian type function be used instead of Rayleigh's function. By using this equation it is possible to fit the entire small angle scattering pattern and obtain the correct forms of the Guinier and Porod limits.

The effects of correlation and multiple scattering are also explored.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 376: Symposium BB – Neutron Scattering in Materials Science , 1994 , 499
Copyright
Copyright © Materials Research Society 1995

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References

REFERENCES

1 Aldridge, L.P., Bertram, W.K., Sabine, T.M., J, Bukowski , Young, J.F., and Heenan, R.K., Mater. Res. Proc. (This volume).Google Scholar
2 Guinier, A. and Fournet, G., Small-angle Scattering of X-rays (John Wiley and Sons, New York, 1955).Google Scholar
3 Danielson, W.E., Shenfil, L., and DuMond, J.W.M., J Appl. Phys. 23, 860 (1952).Google Scholar
4 Debye, P., Anderson, H.R., and Brumberger, H., J. Appl. Phys. 28, 679 (1957).Google Scholar
5 Ashroft, N.W. and Lekner, J., Phys. Rev. 145, 83 (1966).Google Scholar
6 Eichhorn, F., (Private communication).Google Scholar
7 Sabine, T.M., in International Tables for Crystallography, Vol C, page 530 (Kluwer Academic Publishers Dordrecht 1991).Google Scholar
8 Aldridge, L.P., Bertram, W.K., Sabine, T., Eichhorn, F., and Hempel, A., Poster presented at the BENSC users meeting, Hahn-Meitner Institut, Berlin, Germany, 10 Nov (1994).Google Scholar